EP1488569A1 - Protocole d'accord et de transfert de cles - Google Patents

Protocole d'accord et de transfert de cles

Info

Publication number
EP1488569A1
EP1488569A1 EP03743774A EP03743774A EP1488569A1 EP 1488569 A1 EP1488569 A1 EP 1488569A1 EP 03743774 A EP03743774 A EP 03743774A EP 03743774 A EP03743774 A EP 03743774A EP 1488569 A1 EP1488569 A1 EP 1488569A1
Authority
EP
European Patent Office
Prior art keywords
correspondent
key
keyed hash
hash
value
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
EP03743774A
Other languages
German (de)
English (en)
Other versions
EP1488569B1 (fr
Inventor
Marinus Struik
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Certicom Corp
Original Assignee
Certicom Corp
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Certicom Corp filed Critical Certicom Corp
Priority to EP19178670.6A priority Critical patent/EP3573283A1/fr
Publication of EP1488569A1 publication Critical patent/EP1488569A1/fr
Application granted granted Critical
Publication of EP1488569B1 publication Critical patent/EP1488569B1/fr
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

Links

Classifications

    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/08—Key distribution or management, e.g. generation, sharing or updating, of cryptographic keys or passwords
    • H04L9/0816—Key establishment, i.e. cryptographic processes or cryptographic protocols whereby a shared secret becomes available to two or more parties, for subsequent use
    • H04L9/0838—Key agreement, i.e. key establishment technique in which a shared key is derived by parties as a function of information contributed by, or associated with, each of these
    • H04L9/0841—Key agreement, i.e. key establishment technique in which a shared key is derived by parties as a function of information contributed by, or associated with, each of these involving Diffie-Hellman or related key agreement protocols
    • H04L9/0844—Key agreement, i.e. key establishment technique in which a shared key is derived by parties as a function of information contributed by, or associated with, each of these involving Diffie-Hellman or related key agreement protocols with user authentication or key authentication, e.g. ElGamal, MTI, MQV-Menezes-Qu-Vanstone protocol or Diffie-Hellman protocols using implicitly-certified keys

Definitions

  • the present invention relates to key agreement protocols for transfer and
  • the 7 encrypt data using a key.
  • the key must be chosen so that the correspondents are able
  • o Key establishment is the process by which two (or more) parties establish a 1 shared secret key, called the session key.
  • the session key is subsequently used to2 achieve some cryptographic goal, such as privacy.
  • the 6 number of message exchanges required between the parties is called the number of7 passes.
  • a key establishment protocol is said to provide implicit key authentication (or 8 simply key authentication) if one party is assured that no other party aside from a9 specially identified second party may learn the value of the session key.
  • the property o of implicit key authentication does not necessarily mean that the second party actually 1 possesses the session key.
  • a key establishment protocol is said to provide key
  • the authentication is said to be unilateral.
  • the MTI/AO key agreement protocol establishes a shared secret6 K, known to the two correspondents, in the following manner:-7 1.
  • key generation and publication is8 undertaken by selecting and publishing an appropriate system prime p and generator9 a G Z * in a manner guaranteeing authenticity.
  • Correspondent A selects as a long- o term private key a random integer "a",l ⁇ a ⁇ p-2, and computes a long-term public keyi z A — cr mod p.
  • B generates analogous keys b, Z ⁇ .
  • a and B have access to2 authenticated copies of each other's long-term public key.
  • the protocol requires the exchange of the following messages.4 A ⁇ B: cc od p (1) 5 A ⁇ - B: ⁇ P' mod p (2) 6
  • the values of x and y remain secure during such transmissions as it is7 impractical to determine the exponent even when the value of and the 8 exponentiation is known provided of course that p is chosen sufficiently large.
  • 9 To implement the protocol the following steps are performed each time o a shared key is required. 1 (a) A chooses a random integer x, l ⁇ x ⁇ p-2, and sends B message
  • each of said correspondents having a respective private key a,b and a
  • said correspondent B selecting a second random integer y and exponentiating l ⁇ a function f ( ) including said generator to a power g (y) to provide a second
  • FIG. 1 is a schematic representation of a data communication system.4
  • Figures 2 through 7 are schematic representations of implementations ofs different protocols. 6
  • a pair of correspondents, 10,12 denoted as7 correspondent A and correspondent B, exchange information over a communication8 channel 14.
  • a cryptographic unit 16,18 is interposed between each of the9 correspondents 10,12 and the channel 14.
  • a key 20 is associated with each of the 0 cryptographic units 16,18 to convert plaintext carried between each unit 16,18 and its1 respective correspondent 10,12 into ciphertext carried on the channel 14.
  • a message generated by correspondent A, 10 is encrypted by the3 unit 16 with the key 20 and transmitted as ciphertext over channel 14 to the unit 18.4
  • the key 20 operates upon the ciphertext in the unit 18 to generate a plaintext5 message for the correspondent B, 12.
  • the message 6 received by the correspondent 12 will be that sent by the correspondent 10.
  • 7 In order for the system shown in Figure 1 to operate it is necessary for the 8 keys 20 to be identical and therefore a key agreement protocol is established that 9 allows the transfer of information in a public manner to establish the identical keys.
  • o Implementations are shown schematically in figures 2 through 7. 1 Referring to figure 2, a mutual public key authenticated key agreement
  • Correspondent A has a
  • correspondent A As a first step, correspondent A generates a session private key as a random
  • the function F A is a cryptographic one way function, typically an exponention by the0 group generator, such as a point multiplication in an elliptic curve cryptosystem.1 2
  • the public session key GA is forwarded to correspondent B who generates3 corresponding parameters of a session private key RND B and a public session key G ⁇ .4 s
  • the correspondent B computes a session key K as a function of A's public6 information GA,P A AND B's private information RNDB,SB.
  • a corresponding key K'7 can be computed by A using the private information of A and the public information8 of B namely f(RND A ,G B ,S A ,PB).
  • Correspondent B computes the key K as in figure 2 and also generates a o pair of strings yi ,y 2 which B wants to have authenticated by A and receipt confirmedi by A respectively.
  • the strings are sent to A with the hash has he and identity M A ..
  • The2 hash hash ⁇ is performed on a string including the message x 2 and the string yi to be3 authenticated.
  • 4 5 Correspondent A computes the key K and verifies the hash as before. This also 6 confirms receipt of x 2 by B. 7 8
  • Correspondent A in turn generates strings z,,z 2 where zi is a string that A 9 wants authenticated by B and z 2 is a string that may be used in a subsequent execution o of the protocol described below.
  • the strings, Zi and y 2 together with the identifying 1 information of B, Id ⁇ are included in the string that is hashed with the key K to
  • a mutual0 public key authenticated key agreement protocol by letting the strings x 2 ,y ⁇ ,y 2 ,z ⁇ ,z alli be empty strings.
  • a mutual public key authenticated key agreement2 protocol with implicit key agreement can be implemented by using x 2 as a string that3 is assumed to represent E ⁇ (k), the result of applying an encryption function E with4 key K on the value of k.
  • Correspondent B can compute the value of K and hence5 retrieve the notional value of k from the string. He can use this as his shared session6 key with the correspondent A.
  • the value of yi may be used to represent E ⁇ (k 2 ⁇ ) and Zi7 as E ⁇ (k ]2 ) where k 2] and k[ 2 are different keys for communication or other secret8 information to be shared between the correspondents.
  • y 2 and z 2 are empty9 strings.
  • additional information is provided in2 the strings x 2 and y 2 then confirmation of proper receipt is also obtained.
  • the protocol of figure 4 may also be used to increase efficiency in successive 5 sessions by using the string z 2 to pass the information exchanged in the first pass of 6 the next session.
  • the string G A ,X 2 is sent as z 2 in the7 previous session.
  • the protocol then proceeds from correspondent B as before.
  • the third transmission may be optionally omitted.
  • Correspondent B may 9 also take advantage of this facility by including the information G ⁇ ,y ⁇ for the next o session in the exchange as y 2 . 1
  • the mutual public key authenticated key agreement protocol may also be used.
  • a 1 combined implementation of both protocols may take advantage of a common2 handling of telecommunication flows, including messaging, error handling and the-3 like, and may take advantage of a common handling of the key confirmation steps4 (i.e., generation and processing of hash values).
  • 5 6 A similar reasoning holds for the message flows and processing steps of the 7 public-key authenticated key agreement protocol depicted in Figure 4 and the version 8 thereof depicted in Figure 5. It will be appreciated that the latter consists of executing 9 only part of the former. A similar remark holds for the entity authentication protocol 0 depicted in Figure 6 and the one depicted in Figure 7.
  • the augmented public-key authenticated key agreement protocol depicted in Figure 4 can be used to implement the one depicted in Figure 3 and that, similarly, the augmented entity authentication protocol depicted in Figure 6 can be used to implement the one depicted in Figure 2.
  • all the protocols described can be implemented with largely common routines to handle telecommunication and message flows and with a large degree of commonality of the implementation of the protocol steps of each and every one of the protocols. It will be appreciated that although the invention has been described with reference public key based agreement protocols and entity authentication protocols, it may equally be utilized on symmetric key agreement protocols.

Landscapes

  • Engineering & Computer Science (AREA)
  • Computer Security & Cryptography (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Computer And Data Communications (AREA)

Abstract

Un protocole d'établissement de clés reposant sur des techniques exponentielles d'échange de clés consiste à produire une valeur de fonction cryptographique, généralement un condensé numérique, d'une clé de session et d'informations publiques. Cette valeur est transférée entre des correspondants conjointement avec les informations nécessaires à la création de la clé de session. Si la clé de session n'est pas révélée, la valeur de la fonction cryptographique sera la même pour l'ensemble des correspondants. La valeur de la fonction cryptographique ne peut être révélée ou modifiée sans accéder à la clé de session.
EP03743774.6A 2002-03-08 2003-03-07 Échange de clé authentifié Expired - Lifetime EP1488569B1 (fr)

Priority Applications (1)

Application Number Priority Date Filing Date Title
EP19178670.6A EP3573283A1 (fr) 2002-03-08 2003-03-07 Accord-clé et protocole de transport

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
US10/092,972 US7243232B2 (en) 1995-04-21 2002-03-08 Key agreement and transport protocol
US92972 2002-03-08
PCT/CA2003/000317 WO2003077469A1 (fr) 2002-03-08 2003-03-07 Protocole d'accord et de transfert de cles

Related Child Applications (1)

Application Number Title Priority Date Filing Date
EP19178670.6A Division EP3573283A1 (fr) 2002-03-08 2003-03-07 Accord-clé et protocole de transport

Publications (2)

Publication Number Publication Date
EP1488569A1 true EP1488569A1 (fr) 2004-12-22
EP1488569B1 EP1488569B1 (fr) 2019-06-12

Family

ID=27804190

Family Applications (2)

Application Number Title Priority Date Filing Date
EP19178670.6A Withdrawn EP3573283A1 (fr) 2002-03-08 2003-03-07 Accord-clé et protocole de transport
EP03743774.6A Expired - Lifetime EP1488569B1 (fr) 2002-03-08 2003-03-07 Échange de clé authentifié

Family Applications Before (1)

Application Number Title Priority Date Filing Date
EP19178670.6A Withdrawn EP3573283A1 (fr) 2002-03-08 2003-03-07 Accord-clé et protocole de transport

Country Status (5)

Country Link
US (1) US7243232B2 (fr)
EP (2) EP3573283A1 (fr)
AU (1) AU2003209877A1 (fr)
CA (1) CA2487903C (fr)
WO (1) WO2003077469A1 (fr)

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JP4363086B2 (ja) 2003-05-29 2009-11-11 ソニー株式会社 情報送信装置及び方法、情報受信装置及び方法、並びに情報提供システム
JP4470428B2 (ja) * 2003-09-29 2010-06-02 ソニー株式会社 通信システム、情報処理装置および方法、記録媒体、並びにプログラム
KR100571820B1 (ko) * 2003-10-20 2006-04-17 삼성전자주식회사 신원 정보를 기반으로 하는 암호 시스템에서의 컨퍼런스세션 키 분배 방법
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US7783041B2 (en) * 2005-10-03 2010-08-24 Nokia Corporation System, method and computer program product for authenticating a data agreement between network entities
CN101272240B (zh) * 2007-03-21 2013-01-23 华为技术有限公司 一种会话密钥的生成方法、系统和通信设备
US8369518B2 (en) * 2007-06-18 2013-02-05 Nec Corporation Electronic data encryption and encrypted data decryption system, and its method
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WO2010111440A2 (fr) 2009-03-25 2010-09-30 Pacid Technologies, Llc Dispositif fonctionnel pour sécuriser une communication
US8934625B2 (en) 2009-03-25 2015-01-13 Pacid Technologies, Llc Method and system for securing communication
WO2010111438A2 (fr) 2009-03-25 2010-09-30 Pacid Technologies, Llc Système et procédé pour protéger un fichier à secrets
TW201103298A (en) 2009-03-25 2011-01-16 Pacid Technologies Llc Method and system for securing communication
US8782408B2 (en) 2009-03-25 2014-07-15 Pacid Technologies, Llc Method and system for securing communication
US20110093714A1 (en) * 2009-10-20 2011-04-21 Infineon Technologies Ag Systems and methods for asymmetric cryptographic accessory authentication
US8621212B2 (en) * 2009-12-22 2013-12-31 Infineon Technologies Ag Systems and methods for cryptographically enhanced automatic blacklist management and enforcement
US8842833B2 (en) 2010-07-09 2014-09-23 Tata Consultancy Services Limited System and method for secure transaction of data between wireless communication device and server
US8630411B2 (en) 2011-02-17 2014-01-14 Infineon Technologies Ag Systems and methods for device and data authentication
US8479021B2 (en) 2011-09-29 2013-07-02 Pacid Technologies, Llc Secure island computing system and method
CN112054906B (zh) * 2020-08-21 2022-02-11 郑州信大捷安信息技术股份有限公司 一种密钥协商方法及系统

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Also Published As

Publication number Publication date
WO2003077469A1 (fr) 2003-09-18
EP1488569B1 (fr) 2019-06-12
EP3573283A1 (fr) 2019-11-27
AU2003209877A1 (en) 2003-09-22
US7243232B2 (en) 2007-07-10
US20030044019A1 (en) 2003-03-06
CA2487903C (fr) 2016-01-26
CA2487903A1 (fr) 2003-09-18

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